Weakly S-2-absorbing primary submodules

Let S ⊆ R be a m.c.s of a commutative ring R and M a unital module. We said to be a submodule K of M with (K:R M)∩S=ϕ a weakly S-2-absorbing primary, if an s∈S such that 0≠r1r2m∈K, r1, r2∈R and m∈M, then sr1r2 ∈ K:RM or sr1m∈K or sr2m∈K. In present work, we discuss some results with characterization...

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Bibliographic Details
Main Authors: Chaturvedi, Avanish Kumar, Verma, Rohit Kumar
Format: Conference Proceeding
Language:English
Subjects:
Modules
Rings (mathematics)
Online Access:Get full text
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Summary:Let S ⊆ R be a m.c.s of a commutative ring R and M a unital module. We said to be a submodule K of M with (K:R M)∩S=ϕ a weakly S-2-absorbing primary, if an s∈S such that 0≠r1r2m∈K, r1, r2∈R and m∈M, then sr1r2 ∈ K:RM or sr1m∈K or sr2m∈K. In present work, we discuss some results with characterizations of weakly S- 2-absorbing primary submodule of a module.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0201229